A power semiconductor device includes a semiconductor body coupled to first and second load terminal structures, and first and second cells each configured for controlling a load current and electrically connected to the first load terminal structure and to a drift region. A first mesa in the first cell includes a port region electrically connected to the first load terminal structure, and a first channel region coupled to the drift region. A second mesa included in the second cell includes a port region electrically connected to the first load terminal structure, and a second channel region coupled to the drift region. The mesas are spatially confined in a direction perpendicular to a direction of the load current by an insulation structure, and have a total extension of less than 100 nm in that direction. The first channel region includes an inversion channel. The second channel region includes an accumulation channel.